My point being that if there are distinctions between various “citizens-at-birth”, some even being naturalized, there can be a distinction between “born in the US” and “born in the US of citizen parents”, essentially between “native born”,(modern meaning) or 14th amendment, and “natural born”. There just have been no Supreme Court cases were such a distinction would matter.
Fine, they are supposed to. But the rest of that is "...are citizens of the United States and of the State wherein they reside.". It says nothing about the "term of art" "natural-born citizen". We've already seen that "citizen at birth" or "born citizen" is not the same as "Natural born", in conjunction with those citizens at birth via statute.